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Finding the Fourth Proportional to 19,986.45, 29,979.76 and 5,194.32

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Solution

The fourth proportional to 19,986.45, 29,979.76 and 5,194.32 is: 7,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986.45 : 29,979.76 = 5,194.32 : x
  2. Step 2: Convert to fraction form
    19,986.45/29,979.76 = 5,194.32/x
  3. Step 3: Cross multiply
    19,986.45x = 29,979.76 × 5,194.32
  4. Step 4: Simplify right side
    19,986.45x = 155,724,466.96
  5. Step 5: Solve for x
    x = 155,724,466.96/19,986.45
  6. Step 6: Final answer
    x = 7,791.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.